Bounce problem with weak hypotheses of regularity

SummaryIn this paper the elastic bounce problem is formulated in very general hypotheses. More precisely we consider the motion of a material point constrained to move in a domain Ω ⊂Rn, bouncing against its boundary, and we suppose that Ω is neither regular nor convex. Assuming that Ω is in the class of p-convex sets introduced in [4] and ∂Ωε C0,1, an existence theorem is stated.